cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A294454 a(n) = n! * [x^n] exp(2*n*x)*BesselI(0,2*x)^n.

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%I A294454 #31 May 04 2024 12:37:34
%S A294454 1,2,20,324,7336,213500,7593744,319195800,15481238224,850968357228,
%T A294454 52279073479120,3549850939488392,263999303861731200,
%U A294454 21340730504572110008,1863120652816098506432,174706136370865217610000,17512175948995988236164000,1868638289932305589084614220,211478046685658614366937497296
%N A294454 a(n) = n! * [x^n] exp(2*n*x)*BesselI(0,2*x)^n.
%C A294454 The n-th term of the n-fold exponential convolution of A000984 with themselves.
%H A294454 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A294454 a(n) ~ c * d^n * n! / sqrt(n), where d = 6.46710510392662827829435747085578126903789467159876086... and c = 0.36028050364743885143298970162021762094091934461095... - _Vaclav Kotesovec_, May 04 2024
%t A294454 Table[n! SeriesCoefficient[Exp[2 n x] BesselI[0, 2 x]^n, {x, 0, n}], {n, 0, 18}]
%Y A294454 Cf. A000984, A081085, A091527, A293491.
%K A294454 nonn
%O A294454 0,2
%A A294454 _Ilya Gutkovskiy_, Nov 23 2017